135131422478093516800
135,131,422,478,093,516,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 135131422478093516800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2088 divisors.
135131422478093516800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and eighty-eight divisors.
Prime factorization of 135131422478093516800:
228 × 52 × 132 × 53 × 1313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 53 × 131 × 131 × 131)See below for interesting mathematical facts about the number 135131422478093516800 from the Numbermatics database.
Names of 135131422478093516800
- Cardinal: 135131422478093516800 can be written as One hundred thirty-five quintillion, one hundred thirty-one quadrillion, four hundred twenty-two trillion, four hundred seventy-eight billion, ninety-three million, five hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351314224780935168 × 1020
Factors of 135131422478093516800
Divisors of 135131422478093516800
- Number of divisors d(n): 2088
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 80 100 104 106 128 130 131 160 169 200 208 212 256 260 262 265 320 325 338 400 416 424 512 520 524 530 640 650 655 676 689 800 832 845 848 1024 1040 1048 1060 1280 1300 1310 1325 1352 1378 1600 1664 1690 1696 1703 2048 2080 2096 2120 2560 2600 2620 2650 2704 2756 3200 3275 3328 3380 3392 3406 3445 4096 4160 4192 4225 4240 5120 5200 5240 5300 5408 5512 6400 6550 6656 6760 6784 6812 6890 6943 8192 8320 8384 8450 8480 8515 8957 10240 10400 10480 10600 10816 11024 12800 13100 13312 13520 13568 13624 13780 13886 16384 16640 16768 16900 16960 17030 17161 17225 17914 20480 20800 20960 21200 21632 22048 22139 25600 26200 26624 27040 27136 27248 27560 27772 32768 33280 33536 33800 33920 34060 34322 34450 34715 35828 40960 41600 41920 42400 42575 43264 44096 44278 44785 51200 52400 53248 54080 54272 54496 55120 55544 65536 66560 67072 67600 67840 68120 68644 68900 69430 71656 81920 83200 83840 84800 85150 85805 86528 88192 88556 89570 90259 102400 104800 106496 108160 108544 108992 110240 110695 111088 131072 133120 134144 135200 135680 136240 137288 137800 138860 143312 163840 166400 167680 169600 170300 171610 173056 173575 176384 177112 179140 180518 204800 209600 212992 216320 217088 217984 220480 221390 222176 223093 223925 262144 266240 268288 270400 271360 272480 274576 275600 277720 286624 327680 332800 335360 339200 340600 343220 346112 347150 352768 354224 358280 361036 409600 419200 425984 429025 432640 434176 435968 440960 442780 444352 446186 447850 451295 524288 532480 536576 540800 542720 544960 549152 551200 553475 555440 573248 655360 665600 670720 678400 681200 686440 692224 694300 705536 708448 716560 722072 819200 838400 851968 858050 865280 868352 871936 881920 885560 888704 892372 895700 902590 909533 1048576 1064960 1073152 1081600 1085440 1089920 1098304 1102400 1106950 1110880 1115465 1146496 1173367 1310720 1331200 1341440 1356800 1362400 1372880 1384448 1388600 1411072 1416896 1433120 1444144 1638400 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164955349704704 187143972454400 188583541473280 190742895001600 191530159308800 194629731352576 195213431603200 196858316062720 198372610801664 199191365681152 201472182845440 203021968867328 206194187130880 235729426841600 243287164190720 244150905602048 245158603915264 246072895078400 247965763502080 248989207101440 249873192452096 251840228556800 253777461084160 257742733913600 299430355927040 301733666357248 302858947788800 304108955238400 305188632002560 306448254894080 309957204377600 311236508876800 312341490565120 314973305700352 317221826355200 322355492552704 329910699409408 374287944908800 377167082946560 381485790003200 383060318617600 389259462705152 390426863206400 393716632125440 396745221603328 398382731362304 402944365690880 406043937734656 412388374261760 471458853683200 486574328381440 490317207830528 492145790156800 495931527004160 497978414202880 499746384904192 503680457113600 507554922168320 515485467827200 603467332714496 605717895577600 608217910476800 610377264005120 612896509788160 619914408755200 622473017753600 624682981130240 634443652710400 644710985105408 659821398818816 748575889817600 754334165893120 762971580006400 766120637235200 778518925410304 780853726412800 787433264250880 793490443206656 796765462724608 805888731381760 812087875469312 824776748523520 942917707366400 973148656762880 980634415661056 984291580313600 991863054008320 995956828405760 999492769808384 1007360914227200 1015109844336640 1030970935654400 1216435820953600 1220754528010240 1225793019576320 1239828817510400 1244946035507200 1249365962260480 1268887305420800 1289421970210816 1319642797637632 1497151779635200 1508668331786240 1525943160012800 1532241274470400 1561707452825600 1574866528501760 1586980886413312 1593530925449216 1611777462763520 1624175750938624 1649553497047040 1885835414732800 1946297313525760 1961268831322112 1968583160627200 1983726108016640 1991913656811520 1998985539616768 2014721828454400 2030219688673280 2061941871308800 2432871641907200 2451586039152640 2479657635020800 2489892071014400 2498731924520960 2537774610841600 2578843940421632 2639285595275264 3017336663572480 3051886320025600 3064482548940800 3123414905651200 3173961772826624 3187061850898432 3223554925527040 3248351501877248 3299106994094080 3771670829465600 3892594627051520 3922537662644224 3937166321254400 3967452216033280 3983827313623040 3997971079233536 4029443656908800 4060439377346560 4123883742617600 4865743283814400 4903172078305280 4959315270041600 4979784142028800 4997463849041920 5075549221683200 5157687880843264 5278571190550528 6103772640051200 6128965097881600 6246829811302400 6374123701796864 6447109851054080 6496703003754496 6598213988188160 7543341658931200 7845075325288448 7874332642508800 7934904432066560 7967654627246080 7995942158467072 8058887313817600 8120878754693120 8247767485235200 9731486567628800 9806344156610560 9918630540083200 9959568284057600 9994927698083840 10151098443366400 10315375761686528 10557142381101056 12257930195763200 12493659622604800 12748247403593728 12894219702108160 12993406007508992 13196427976376320 15086683317862400 15869808864133120 15935309254492160 15991884316934144 16117774627635200 16241757509386240 16495534970470400 19462973135257600 19612688313221120 19837261080166400 19919136568115200 19989855396167680 20302196886732800 20630751523373056 21114284762202112 24515860391526400 24987319245209600 25496494807187456 25788439404216320 25986812015017984 26392855952752640 31870618508984320 31983768633868288 32235549255270400 32483515018772480 32991069940940800 39225376626442240 39674522160332800 39838273136230400 39979710792335360 40604393773465600 41261503046746112 42228569524404224 49031720783052800 49974638490419200 50992989614374912 51576878808432640 51973624030035968 52785711905505280 63741237017968640 64471098510540800 64967030037544960 65982139881881600 79349044320665600 79676546272460800 79959421584670720 81208787546931200 84457139048808448 98063441566105600 99949276980838400 101985979228749824 103153757616865280 103947248060071936 105571423811010560 127482474035937280 128942197021081600 129934060075089920 131964279763763200 159353092544921600 159918843169341440 162417575093862400 168914278097616896 196126883132211200 199898553961676800 206307515233730560 207894496120143872 211142847622021120 254964948071874560 257884394042163200 259868120150179840 263928559527526400 318706185089843200 324835150187724800 337828556195233792 399797107923353600 415788992240287744 422285695244042240 509929896143749120 515768788084326400 519736240300359680 527857119055052800 637412370179686400 649670300375449600 675657112390467584 799594215846707200 844571390488084480 1031537576168652800 1039472480600719360 1055714238110105600 1274824740359372800 1299340600750899200 1351314224780935168 1689142780976168960 2078944961201438720 2111428476220211200 2549649480718745600 2598681201501798400 2702628449561870336 3378285561952337920 4222856952440422400 5197362403003596800 5405256899123740672 6756571123904675840 8445713904880844800 10394724806007193600 13513142247809351680 16891427809761689600 27026284495618703360 33782855619523379200 67565711239046758400 135131422478093516800
- Sum of all divisors σ(n): 372578891004487073808
- Sum of proper divisors (its aliquot sum) s(n): 237447468526393557008
- 135131422478093516800 is an abundant number, because the sum of its proper divisors (237447468526393557008) is greater than itself. Its abundance is 102316046048300040208
Bases of 135131422478093516800
- Binary: 11101010011010100110100000011001001011100000000000000000000000000002
- Hexadecimal: 0x7535340C970000000
- Base-36: SINY3F6NL8C1S
Squares and roots of 135131422478093516800
- 135131422478093516800 squared (1351314224780935168002) is 18260501340952997776903190006191882240000
- 135131422478093516800 cubed (1351314224780935168003) is 2467567521366112729383101392535125775146636035733061632000000
-
The
square root of 135131422478093516800 is 11624604185.8677285803 -
The
cube root of 135131422478093516800 is 5131591.9614461577
Scales and comparisons
How big is 135131422478093516800?- 135,131,422,478,093,516,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,131,422,478,093,516,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135131422478093516800 cubic inches would be around 427632.7 feet tall.
Recreational maths with 135131422478093516800
- 135131422478093516800 backwards is 008615390874224131531
- The number of decimal digits it has is: 21
- The sum of 135131422478093516800's digits is 73
- More coming soon!
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"Number 135131422478093516800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 135131422478093516800 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/135131422478093516800/
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Numbermatics. 2024. "Number 135131422478093516800 - Facts about the integer". https://numbermatics.com/n/135131422478093516800/
The information we have on file for 135131422478093516800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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